This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

**Table 1.** Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue	Howard	Bayes
Time series	1999 - present	1977 - present
Bias in SWHS	Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests.	Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases	Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data.	Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations	Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas.	Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation	Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with.	By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Results

Model: LB_fit_3pH
Model Run: Gen4int_indcomp_swhsR_FULL_pHB4pars_re0full_altwt_2xcvSEo_thru2024_2e+06_SE06ex_2026-01-02 (Naming convention: modelname_thruYEAR_iters_rundate)
Proportion of parmaters converged (Rhat <= 1.1): 0.9987
See end of document for summary of unconverged parameters.

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

And black rockfish releases…

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Model fit

Logbook residuals

Figure 20.- Residuals from logbook harvests.

SWHS residuals

Figure 21.- Residuals from SWHS harvests.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

Figure 23.- Mean percent of harvest by charter anglers.

When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(slope|non-pelagic & non-yellowye) For release estimates

## NULL

Weight Fits

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.983871

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.03 while 0.97 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable	area_n	year	user	mean	median	lower	upper	Rhat	sd	skew	area
p_pelagic	13	3	2	0.084	0.069	0.018	0.244	1.011	0.059	0.255	NSEI

Table Xb. True parameters with an Rhat in excess of 1.1

variable	area_n	year/species	mean	median	lower	upper	Rhat	sd	skew	area
beta0_pH	15	4	0.601	0.948	-2.072	1.600	1.191	0.970	-0.358	SSEI
beta1_pH	15	4	1.139	0.805	0.116	3.837	1.187	1.003	0.333	SSEI
tau_beta1_pH	3	4	4.332	0.349	0.011	34.433	1.102	10.430	0.382	PWSI

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.01	185.00	190.00	741.00	317.00
Prop. of total	0.49	0.51	0.70	0.30
Prop. median less than 1	0.47	0.23	0.38	0.45
Prop. median less than 10	0.65	0.59	0.63	0.79
Prop. median less than 50	0.88	0.86	0.77	0.84
Median of the median values	1.49	6.81	3.07	1.42
Mean of the median values	30.14	71.38	105.22	103.18
Mean skew of posteriors	0.28	0.29	0.27	0.25

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.1	1.00	5.00	39.00	30.00
Prop. of total	0.17	0.83	0.57	0.43
Prop. median less than 1	1.00	0.40	0.79	0.63
Prop. median less than 10	1.00	1.00	0.87	0.87
Prop. median less than 50	1.00	1.00	0.90	0.93
Median of the median values	0.00	1.12	0.01	0.39
Mean of the median values	0.00	1.31	30.79	29.06
Mean skew of posteriors	0.43	0.21	0.15	0.18

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable	Freq
beta0_pH	1
beta1_pH	1
Ho_ay	1
Ho_ayu	1
Hs_ay	1
Hs_ayg	1
Hs_ayu	1
Hy_ay	2
Hy_ayu	2
R_ayu	3
Rb_ayu	1
Rd_ayg	3
Rd_ayu	1
Ro_ay	7
Ro_ayg	8
Ro_ayu	17
Rp_ayu	1
Rs_ayu	1
Ry_ay	13
Ry_ayg	6
Ry_ayu	24

Parameter estimates:

Summary Table of Parameter Estimates
Parameter	mean	sd	Lower_CI	Median	Upper_CI
mu_bc_H[1]	-0.018	0.070	-0.146	-0.021	0.127
mu_bc_H[2]	0.074	0.054	-0.029	0.070	0.186
mu_bc_H[3]	-0.271	0.067	-0.395	-0.274	-0.134
mu_bc_H[4]	-0.922	0.184	-1.304	-0.918	-0.565
mu_bc_H[5]	1.348	1.179	0.124	1.067	4.560
mu_bc_H[6]	-2.398	0.319	-2.993	-2.406	-1.768
mu_bc_H[7]	-0.452	0.101	-0.658	-0.448	-0.264
mu_bc_H[8]	0.269	0.363	-0.322	0.240	1.062
mu_bc_H[9]	-0.246	0.124	-0.488	-0.248	0.006
mu_bc_H[10]	0.057	0.065	-0.064	0.056	0.190
mu_bc_H[11]	-0.123	0.037	-0.198	-0.123	-0.050
mu_bc_H[12]	-0.252	0.107	-0.480	-0.246	-0.061
mu_bc_H[13]	-0.156	0.071	-0.291	-0.157	-0.013
mu_bc_H[14]	-0.296	0.090	-0.484	-0.293	-0.124
mu_bc_H[15]	-0.324	0.048	-0.416	-0.325	-0.227
mu_bc_H[16]	-0.214	0.362	-0.865	-0.239	0.610
mu_bc_R[1]	1.037	0.120	0.799	1.037	1.271
mu_bc_R[2]	1.011	0.075	0.856	1.012	1.152
mu_bc_R[3]	0.220	0.089	0.041	0.223	0.390
mu_bc_R[4]	0.675	0.202	0.269	0.676	1.056
mu_bc_R[5]	1.669	0.377	0.959	1.669	2.419
mu_bc_R[6]	-1.433	0.349	-2.123	-1.439	-0.741
mu_bc_R[7]	0.520	0.168	0.171	0.521	0.844
mu_bc_R[8]	0.644	0.149	0.360	0.644	0.935
mu_bc_R[9]	0.386	0.170	0.021	0.395	0.691
mu_bc_R[10]	0.891	0.103	0.695	0.892	1.088
mu_bc_R[11]	1.104	0.076	0.953	1.104	1.255
mu_bc_R[12]	0.888	0.164	0.561	0.888	1.209
mu_bc_R[13]	1.065	0.094	0.870	1.066	1.249
mu_bc_R[14]	0.846	0.125	0.588	0.850	1.085
mu_bc_R[15]	0.724	0.096	0.537	0.723	0.915
mu_bc_R[16]	1.303	0.107	1.077	1.306	1.507
tau_pH[1]	2.447	0.184	2.087	2.440	2.826
tau_pH[2]	1.588	0.147	1.312	1.583	1.895
tau_pH[3]	2.269	0.300	1.722	2.251	2.879
tau_pH[4]	1.043	0.144	0.783	1.034	1.362
tau_pH[5]	1.021	0.153	0.757	1.013	1.348
beta0_pH[1,1]	0.547	0.185	0.142	0.560	0.879
beta0_pH[2,1]	1.410	0.171	1.064	1.416	1.724
beta0_pH[3,1]	1.367	0.256	0.740	1.404	1.746
beta0_pH[4,1]	1.541	0.254	0.945	1.568	1.963
beta0_pH[5,1]	-0.806	0.394	-1.786	-0.762	-0.140
beta0_pH[6,1]	-0.585	0.473	-1.851	-0.470	0.035
beta0_pH[7,1]	0.753	0.010	0.732	0.752	0.773
beta0_pH[8,1]	-0.750	0.443	-1.842	-0.682	-0.070
beta0_pH[9,1]	-0.361	0.326	-1.110	-0.316	0.150
beta0_pH[10,1]	0.264	0.196	-0.147	0.275	0.631
beta0_pH[11,1]	0.036	0.323	-0.633	0.048	0.639
beta0_pH[12,1]	0.648	0.195	0.238	0.655	1.005
beta0_pH[13,1]	-0.681	0.157	-1.008	-0.676	-0.392
beta0_pH[14,1]	0.051	0.183	-0.329	0.056	0.391
beta0_pH[15,1]	0.064	0.202	-0.390	0.084	0.403
beta0_pH[16,1]	-0.992	0.215	-1.419	-0.983	-0.590
beta0_pH[1,2]	2.564	0.084	2.404	2.563	2.730
beta0_pH[2,2]	3.078	0.022	3.035	3.079	3.122
beta0_pH[3,2]	3.626	0.041	3.549	3.625	3.708
beta0_pH[4,2]	2.937	0.019	2.901	2.937	2.974
beta0_pH[5,2]	4.503	1.498	2.701	4.198	8.197
beta0_pH[6,2]	3.328	0.157	3.035	3.324	3.642
beta0_pH[7,2]	2.025	0.050	1.927	2.023	2.124
beta0_pH[8,2]	2.821	0.065	2.695	2.819	2.948
beta0_pH[9,2]	3.961	0.207	3.585	3.954	4.392
beta0_pH[10,2]	4.000	0.128	3.748	4.000	4.262
beta0_pH[11,2]	1.888	0.009	1.870	1.888	1.906
beta0_pH[12,2]	1.802	0.067	1.672	1.799	1.935
beta0_pH[13,2]	2.500	0.026	2.448	2.500	2.551
beta0_pH[14,2]	1.804	0.024	1.758	1.804	1.854
beta0_pH[15,2]	2.550	0.017	2.518	2.550	2.584
beta0_pH[16,2]	2.777	0.025	2.728	2.777	2.824
beta0_pH[1,3]	0.708	0.584	-0.801	0.886	1.369
beta0_pH[2,3]	2.126	0.018	2.091	2.125	2.159
beta0_pH[3,3]	2.689	0.024	2.642	2.689	2.736
beta0_pH[4,3]	2.981	0.035	2.916	2.981	3.050
beta0_pH[5,3]	3.833	2.699	0.961	3.099	11.434
beta0_pH[6,3]	1.254	0.328	0.689	1.222	1.964
beta0_pH[7,3]	0.855	0.051	0.756	0.856	0.957
beta0_pH[8,3]	0.286	0.123	0.032	0.294	0.505
beta0_pH[9,3]	-2.877	1.108	-5.347	-2.752	-0.967
beta0_pH[10,3]	-0.883	0.886	-2.952	-0.771	0.610
beta0_pH[11,3]	-0.049	11.400	-22.807	0.218	22.376
beta0_pH[12,3]	-0.195	11.399	-22.887	-0.316	22.264
beta0_pH[13,3]	-0.201	11.175	-22.380	-0.001	21.693
beta0_pH[14,3]	-0.011	11.242	-21.829	0.172	21.472
beta0_pH[15,3]	-0.118	11.313	-22.530	-0.117	21.984
beta0_pH[16,3]	-0.303	11.157	-21.993	-0.337	21.331
beta0_pH[11,4]	1.537	0.732	-0.293	1.613	2.728
beta0_pH[12,4]	1.405	1.101	-1.277	1.445	3.482
beta0_pH[13,4]	1.922	0.778	0.218	1.991	3.219
beta0_pH[14,4]	0.727	0.638	-0.798	0.800	1.709
beta0_pH[15,4]	0.601	0.970	-2.072	0.948	1.600
beta0_pH[16,4]	1.291	0.824	-0.743	1.377	2.681
beta0_pH[11,5]	1.285	0.107	1.104	1.275	1.518
beta0_pH[12,5]	-2.309	0.435	-3.257	-2.259	-1.581
beta0_pH[13,5]	0.762	0.055	0.664	0.758	0.875
beta0_pH[14,5]	0.614	0.230	0.178	0.607	1.084
beta0_pH[15,5]	2.266	0.440	1.628	2.174	3.307
beta0_pH[16,5]	-0.768	0.066	-0.894	-0.770	-0.633
beta1_pH[1,1]	2.619	0.520	1.805	2.542	3.911
beta1_pH[2,1]	1.620	0.349	1.055	1.591	2.404
beta1_pH[3,1]	1.854	0.466	1.156	1.776	3.123
beta1_pH[4,1]	1.988	0.494	1.255	1.904	3.374
beta1_pH[5,1]	2.332	0.506	1.509	2.276	3.552
beta1_pH[6,1]	2.205	0.800	1.097	2.033	4.301
beta1_pH[7,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1]	2.630	1.051	1.249	2.357	5.317
beta1_pH[9,1]	2.182	0.771	1.242	2.009	4.598
beta1_pH[10,1]	2.183	0.405	1.498	2.135	3.127
beta1_pH[11,1]	3.401	0.552	2.497	3.342	4.656
beta1_pH[12,1]	2.873	0.291	2.323	2.863	3.477
beta1_pH[13,1]	3.493	0.259	3.009	3.486	4.025
beta1_pH[14,1]	2.813	0.334	2.214	2.794	3.501
beta1_pH[15,1]	2.393	0.288	1.895	2.376	3.011
beta1_pH[16,1]	4.181	0.303	3.606	4.171	4.772
beta1_pH[1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[1,3]	3.397	1.643	1.188	2.921	7.298
beta1_pH[2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,3]	4.914	2.369	2.234	4.097	11.389
beta1_pH[9,3]	8.489	2.671	4.124	8.123	14.182
beta1_pH[10,3]	7.206	2.748	3.084	6.658	13.422
beta1_pH[11,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,4]	1.977	0.788	0.515	1.929	3.754
beta1_pH[12,4]	3.974	1.132	1.962	3.890	6.781
beta1_pH[13,4]	2.472	0.798	1.098	2.410	4.211
beta1_pH[14,4]	2.687	0.709	1.498	2.625	4.308
beta1_pH[15,4]	1.139	1.003	0.116	0.805	3.837
beta1_pH[16,4]	3.740	0.868	2.279	3.648	5.737
beta1_pH[11,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,1]	1.198	0.838	0.307	0.896	3.317
beta2_pH[2,1]	1.587	0.948	0.277	1.364	3.416
beta2_pH[3,1]	1.281	0.834	0.181	1.095	2.911
beta2_pH[4,1]	0.989	0.738	0.191	0.717	2.853
beta2_pH[5,1]	2.150	1.867	0.255	1.644	7.527
beta2_pH[6,1]	0.967	1.650	0.110	0.375	6.493
beta2_pH[7,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1]	0.736	1.386	0.108	0.307	5.531
beta2_pH[9,1]	1.026	1.604	0.129	0.484	6.646
beta2_pH[10,1]	1.286	1.498	0.257	0.790	6.177
beta2_pH[11,1]	0.413	0.263	0.174	0.350	1.056
beta2_pH[12,1]	1.585	0.802	0.627	1.334	3.614
beta2_pH[13,1]	0.987	0.417	0.516	0.892	2.090
beta2_pH[14,1]	1.136	0.678	0.413	0.928	3.242
beta2_pH[15,1]	1.031	0.606	0.365	0.871	2.870
beta2_pH[16,1]	1.065	0.350	0.635	0.999	1.915
beta2_pH[1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,3]	2.488	4.279	0.114	0.510	15.710
beta2_pH[2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,3]	2.447	2.071	0.567	1.565	8.332
beta2_pH[9,3]	0.188	0.159	0.079	0.158	0.438
beta2_pH[10,3]	0.335	0.508	0.099	0.229	1.032
beta2_pH[11,3]	-8.216	5.887	-22.473	-6.982	-0.413
beta2_pH[12,3]	-8.249	5.895	-22.257	-7.057	-0.398
beta2_pH[13,3]	-8.219	5.818	-22.251	-6.918	-0.464
beta2_pH[14,3]	-8.237	5.792	-22.283	-6.949	-0.501
beta2_pH[15,3]	-8.238	5.847	-22.420	-7.047	-0.442
beta2_pH[16,3]	-8.203	5.767	-21.718	-7.084	-0.417
beta2_pH[11,4]	-5.252	4.340	-16.601	-3.825	-0.660
beta2_pH[12,4]	-5.643	4.181	-16.560	-4.480	-0.943
beta2_pH[13,4]	-4.943	4.219	-16.140	-3.434	-0.690
beta2_pH[14,4]	-5.072	4.245	-16.348	-3.537	-0.845
beta2_pH[15,4]	-5.359	4.170	-15.986	-4.079	-0.801
beta2_pH[16,4]	-5.459	3.939	-15.923	-4.114	-1.278
beta2_pH[11,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,5]	0.000	0.000	0.000	0.000	0.000
beta3_pH[1,1]	35.059	1.159	32.994	35.021	37.548
beta3_pH[2,1]	32.711	1.397	30.201	32.642	35.676
beta3_pH[3,1]	32.978	1.590	29.659	32.973	36.487
beta3_pH[4,1]	32.752	1.939	29.546	32.605	36.947
beta3_pH[5,1]	27.639	1.239	25.918	27.477	31.120
beta3_pH[6,1]	32.912	3.290	25.899	32.861	40.394
beta3_pH[7,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1]	34.968	3.882	28.489	34.572	42.734
beta3_pH[9,1]	32.502	3.036	27.694	31.954	40.079
beta3_pH[10,1]	32.628	1.403	30.169	32.521	35.852
beta3_pH[11,1]	31.212	1.187	29.232	31.152	33.726
beta3_pH[12,1]	30.800	0.475	29.853	30.815	31.737
beta3_pH[13,1]	31.364	0.555	30.346	31.352	32.489
beta3_pH[14,1]	32.567	0.774	31.271	32.520	34.164
beta3_pH[15,1]	30.955	0.752	29.415	30.979	32.337
beta3_pH[16,1]	30.076	0.338	29.422	30.078	30.734
beta3_pH[1,2]	34.520	5.440	25.497	34.556	43.488
beta3_pH[2,2]	34.560	5.465	25.378	34.637	43.566
beta3_pH[3,2]	30.449	7.239	18.662	30.465	42.335
beta3_pH[4,2]	30.576	7.202	18.624	30.666	42.416
beta3_pH[5,2]	30.403	7.290	18.520	30.515	42.320
beta3_pH[6,2]	30.446	7.185	18.549	30.453	42.310
beta3_pH[7,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[12,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[13,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[14,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[15,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[16,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[1,3]	39.785	2.552	33.482	40.177	43.666
beta3_pH[2,3]	34.662	5.582	25.473	34.844	43.669
beta3_pH[3,3]	30.483	7.120	18.529	30.526	42.351
beta3_pH[4,3]	30.445	7.144	18.713	30.270	42.368
beta3_pH[5,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,3]	42.156	0.822	41.027	41.881	43.879
beta3_pH[9,3]	35.987	1.739	34.527	35.311	41.340
beta3_pH[10,3]	37.788	2.499	34.645	37.118	43.362
beta3_pH[11,3]	38.468	2.592	34.232	38.446	42.806
beta3_pH[12,3]	38.498	2.622	34.220	38.495	42.814
beta3_pH[13,3]	38.499	2.615	34.226	38.528	42.804
beta3_pH[14,3]	38.512	2.568	34.256	38.474	42.741
beta3_pH[15,3]	38.576	2.595	34.262	38.671	42.772
beta3_pH[16,3]	38.491	2.605	34.225	38.495	42.785
beta3_pH[11,4]	40.561	1.217	38.327	40.413	43.171
beta3_pH[12,4]	42.205	0.691	40.390	42.376	43.046
beta3_pH[13,4]	40.903	0.959	39.093	40.894	42.951
beta3_pH[14,4]	40.171	0.723	38.818	40.147	41.561
beta3_pH[15,4]	41.517	1.576	37.780	41.724	43.808
beta3_pH[16,4]	41.693	0.442	40.846	41.740	42.545
beta3_pH[11,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[12,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[13,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[14,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[15,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[16,5]	25.000	0.000	25.000	25.000	25.000
beta4_pH[1,1]	0.262	0.021	0.222	0.262	0.305
beta4_pH[2,1]	0.211	0.005	0.201	0.211	0.221
beta4_pH[3,1]	0.173	0.007	0.159	0.173	0.186
beta4_pH[4,1]	0.294	0.012	0.270	0.294	0.316
beta4_pH[5,1]	0.426	0.266	0.091	0.383	0.917
beta4_pH[6,1]	0.788	0.419	0.330	0.742	1.449
beta4_pH[7,1]	0.839	0.331	0.357	0.792	1.632
beta4_pH[8,1]	0.155	0.070	0.041	0.147	0.311
beta4_pH[9,1]	0.214	0.087	0.064	0.210	0.393
beta4_pH[10,1]	0.001	0.001	0.000	0.001	0.003
beta4_pH[11,1]	0.446	0.012	0.423	0.445	0.470
beta4_pH[12,1]	0.643	0.023	0.599	0.643	0.688
beta4_pH[13,1]	0.629	0.014	0.602	0.629	0.656
beta4_pH[14,1]	0.668	0.031	0.608	0.667	0.732
beta4_pH[15,1]	0.797	0.021	0.755	0.797	0.839
beta4_pH[16,1]	1.208	0.041	1.133	1.207	1.293
beta4_pH[1,2]	0.296	0.095	0.130	0.289	0.501
beta4_pH[2,2]	0.515	0.023	0.470	0.515	0.560
beta4_pH[3,2]	0.446	0.012	0.423	0.446	0.470
beta4_pH[4,2]	0.654	0.038	0.581	0.653	0.731
beta4_pH[5,2]	0.718	0.749	0.107	0.537	2.337
beta4_pH[6,2]	0.908	0.824	0.205	0.738	2.645
beta4_pH[7,2]	0.884	0.437	0.339	0.815	1.866
beta4_pH[8,2]	0.845	0.203	0.489	0.834	1.276
beta4_pH[9,2]	1.140	1.023	0.300	0.888	3.593
beta4_pH[10,2]	0.457	0.051	0.364	0.455	0.562
beta4_pH[11,2]	1.268	0.051	1.169	1.267	1.370
beta4_pH[12,2]	0.610	0.112	0.401	0.604	0.848
beta4_pH[13,2]	0.954	0.044	0.873	0.953	1.042
beta4_pH[14,2]	0.937	0.064	0.812	0.936	1.063
beta4_pH[15,2]	1.009	0.026	0.959	1.009	1.061
beta4_pH[16,2]	1.368	0.074	1.229	1.367	1.515
beta4_pH[1,3]	0.241	0.077	0.100	0.237	0.401
beta4_pH[2,3]	0.050	0.017	0.019	0.049	0.085
beta4_pH[3,3]	0.052	0.010	0.033	0.052	0.071
beta4_pH[4,3]	0.166	0.030	0.109	0.166	0.226
beta4_pH[5,3]	0.796	1.125	0.101	0.558	2.673
beta4_pH[6,3]	0.905	0.869	0.203	0.721	2.733
beta4_pH[7,3]	0.902	0.423	0.375	0.820	1.905
beta4_pH[8,3]	0.391	0.185	0.105	0.369	0.811
beta4_pH[9,3]	0.921	0.968	0.158	0.709	2.687
beta4_pH[10,3]	0.055	0.038	0.002	0.049	0.143
beta4_pH[11,3]	0.620	0.264	0.248	0.571	1.240
beta4_pH[12,3]	0.730	0.237	0.378	0.692	1.303
beta4_pH[13,3]	0.825	0.416	0.298	0.740	1.800
beta4_pH[14,3]	0.857	0.218	0.504	0.828	1.359
beta4_pH[15,3]	0.795	0.206	0.451	0.775	1.247
beta4_pH[16,3]	0.832	0.372	0.333	0.766	1.812
beta4_pH[1,4]	0.638	0.370	0.190	0.565	1.496
beta4_pH[2,4]	0.817	0.977	0.113	0.579	2.884
beta4_pH[3,4]	0.843	0.947	0.115	0.589	3.113
beta4_pH[4,4]	0.738	0.484	0.206	0.618	1.988
beta4_pH[5,4]	0.776	0.890	0.112	0.558	2.828
beta4_pH[6,4]	0.923	0.819	0.221	0.740	2.923
beta4_pH[7,4]	0.892	0.463	0.353	0.817	1.900
beta4_pH[8,4]	0.748	0.642	0.146	0.596	2.297
beta4_pH[9,4]	0.804	0.969	0.137	0.578	3.052
beta4_pH[10,4]	1.484	3.086	0.006	0.378	11.629
beta4_pH[11,4]	0.427	0.019	0.389	0.427	0.465
beta4_pH[12,4]	0.534	0.044	0.452	0.532	0.623
beta4_pH[13,4]	0.836	0.033	0.773	0.836	0.901
beta4_pH[14,4]	0.875	0.060	0.763	0.873	0.993
beta4_pH[15,4]	0.616	0.019	0.581	0.616	0.652
beta4_pH[16,4]	0.663	0.044	0.581	0.662	0.750
beta4_pH[1,5]	0.643	0.384	0.200	0.566	1.535
beta4_pH[2,5]	0.822	0.958	0.114	0.580	3.185
beta4_pH[3,5]	0.882	1.034	0.118	0.605	3.279
beta4_pH[4,5]	0.726	0.449	0.198	0.622	1.882
beta4_pH[5,5]	0.750	0.772	0.111	0.555	2.677
beta4_pH[6,5]	0.911	0.762	0.216	0.739	2.649
beta4_pH[7,5]	0.905	0.452	0.361	0.818	1.981
beta4_pH[8,5]	0.738	0.681	0.147	0.580	2.235
beta4_pH[9,5]	0.773	0.860	0.129	0.560	2.685
beta4_pH[10,5]	1.458	3.164	0.006	0.369	12.146
beta4_pH[11,5]	0.309	0.081	0.155	0.304	0.477
beta4_pH[12,5]	0.866	0.292	0.459	0.809	1.566
beta4_pH[13,5]	2.559	0.346	1.922	2.548	3.283
beta4_pH[14,5]	0.835	0.191	0.513	0.815	1.268
beta4_pH[15,5]	0.923	0.076	0.796	0.915	1.099
beta4_pH[16,5]	0.943	0.388	0.368	0.882	1.898
beta0_pelagic[1]	2.266	0.036	2.199	2.265	2.339
beta0_pelagic[2]	1.538	0.007	1.524	1.537	1.552
beta0_pelagic[3]	0.184	0.253	-0.458	0.243	0.543
beta0_pelagic[4]	0.226	0.215	-0.272	0.239	0.621
beta0_pelagic[5]	1.443	0.157	1.146	1.440	1.761
beta0_pelagic[6]	1.357	0.060	1.245	1.355	1.478
beta0_pelagic[7]	1.469	0.038	1.399	1.467	1.548
beta0_pelagic[8]	1.670	0.042	1.593	1.670	1.753
beta0_pelagic[9]	2.776	0.064	2.657	2.776	2.904
beta0_pelagic[10]	2.602	0.030	2.545	2.602	2.666
beta0_pelagic[11]	-0.172	0.212	-0.707	-0.146	0.165
beta0_pelagic[12]	1.798	0.036	1.730	1.797	1.874
beta0_pelagic[13]	-1.707	0.806	-3.531	-1.669	-0.297
beta0_pelagic[14]	-0.088	0.195	-0.580	-0.056	0.200
beta0_pelagic[15]	-0.199	0.029	-0.278	-0.188	-0.174
beta0_pelagic[16]	-0.874	0.326	-1.893	-0.814	-0.472
beta1_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[3]	0.768	0.277	0.338	0.730	1.529
beta1_pelagic[4]	0.826	0.243	0.393	0.815	1.379
beta1_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[11]	1.216	0.294	0.740	1.184	1.919
beta1_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[13]	4.149	1.418	1.803	3.929	7.260
beta1_pelagic[14]	1.599	0.524	0.866	1.478	2.933
beta1_pelagic[15]	0.064	0.130	0.000	0.009	0.511
beta1_pelagic[16]	2.033	0.483	1.432	1.942	3.536
beta2_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[3]	6.409	6.031	0.200	4.672	20.837
beta2_pelagic[4]	7.696	6.112	0.358	6.377	22.597
beta2_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[11]	1.773	1.527	0.247	1.281	5.925
beta2_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[13]	0.126	0.070	0.055	0.110	0.304
beta2_pelagic[14]	0.999	1.183	0.167	0.552	5.188
beta2_pelagic[15]	2.643	1.934	0.180	2.289	7.288
beta2_pelagic[16]	1.469	1.148	0.193	1.100	4.566
beta3_pelagic[1]	28.734	3.930	22.391	28.673	35.167
beta3_pelagic[2]	28.666	3.889	22.354	28.599	35.162
beta3_pelagic[3]	27.829	2.711	23.249	28.222	32.082
beta3_pelagic[4]	26.181	1.398	23.351	26.282	29.323
beta3_pelagic[5]	29.236	6.613	18.634	29.146	40.335
beta3_pelagic[6]	29.227	6.546	18.645	29.123	40.200
beta3_pelagic[7]	29.586	6.622	18.693	29.693	40.421
beta3_pelagic[8]	29.336	6.650	18.513	29.290	40.332
beta3_pelagic[9]	29.487	6.554	18.603	29.380	40.495
beta3_pelagic[10]	29.330	6.691	18.568	29.297	40.240
beta3_pelagic[11]	29.903	1.256	27.394	29.907	32.581
beta3_pelagic[12]	30.000	0.000	30.000	30.000	30.000
beta3_pelagic[13]	30.820	3.698	25.244	30.495	37.564
beta3_pelagic[14]	35.340	1.955	31.943	35.057	39.813
beta3_pelagic[15]	33.517	5.769	23.543	34.023	41.739
beta3_pelagic[16]	30.287	0.921	28.382	30.312	31.853
beta0_yellow[1]	-0.483	0.080	-0.634	-0.483	-0.320
beta0_yellow[2]	0.457	0.136	0.098	0.473	0.647
beta0_yellow[3]	-0.235	0.121	-0.480	-0.236	-0.007
beta0_yellow[4]	0.745	0.259	-0.028	0.805	1.079
beta0_yellow[5]	0.239	0.335	-0.473	0.267	0.821
beta0_yellow[6]	0.820	0.108	0.610	0.819	1.035
beta0_yellow[7]	1.010	0.101	0.812	1.010	1.206
beta0_yellow[8]	1.016	0.094	0.832	1.015	1.204
beta0_yellow[9]	0.441	0.101	0.240	0.443	0.636
beta0_yellow[10]	0.539	0.070	0.397	0.538	0.676
beta0_yellow[11]	-0.197	0.124	-0.460	-0.184	0.015
beta0_yellow[12]	-1.093	0.096	-1.278	-1.091	-0.912
beta0_yellow[13]	-1.353	0.166	-1.705	-1.342	-1.072
beta0_yellow[14]	-0.255	0.158	-0.597	-0.238	-0.013
beta0_yellow[15]	-1.247	0.134	-1.575	-1.231	-1.030
beta0_yellow[16]	-0.247	0.095	-0.432	-0.245	-0.063
beta1_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[2]	0.934	0.274	0.474	0.904	1.602
beta1_yellow[3]	0.497	0.231	0.027	0.509	0.925
beta1_yellow[4]	1.220	0.491	0.595	1.107	2.613
beta1_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[11]	0.262	0.341	0.001	0.084	1.143
beta1_yellow[12]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[13]	0.970	0.973	0.019	0.737	4.300
beta1_yellow[14]	0.601	0.834	0.012	0.379	3.248
beta1_yellow[15]	0.166	0.211	0.011	0.079	0.705
beta1_yellow[16]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[2]	-5.506	5.497	-19.747	-3.470	-0.209
beta2_yellow[3]	-7.840	5.875	-22.408	-6.550	-0.532
beta2_yellow[4]	-4.970	5.598	-19.749	-2.671	-0.130
beta2_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[11]	-7.879	5.891	-22.091	-6.662	-0.426
beta2_yellow[12]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[13]	-6.366	5.503	-19.837	-4.809	-0.351
beta2_yellow[14]	-6.994	5.454	-19.801	-5.723	-0.347
beta2_yellow[15]	-7.652	5.556	-20.513	-6.506	-0.377
beta2_yellow[16]	0.000	0.000	0.000	0.000	0.000
beta3_yellow[1]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[2]	31.215	1.191	30.026	30.887	33.955
beta3_yellow[3]	33.279	2.091	30.388	32.935	38.526
beta3_yellow[4]	33.243	1.690	30.282	33.111	36.622
beta3_yellow[5]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[6]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[7]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[8]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[9]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[10]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[11]	35.204	3.747	30.410	34.144	43.433
beta3_yellow[12]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[13]	33.819	2.667	29.327	33.793	40.036
beta3_yellow[14]	34.066	3.450	29.260	33.683	43.072
beta3_yellow[15]	36.478	3.809	30.278	36.241	43.454
beta3_yellow[16]	35.000	0.000	35.000	35.000	35.000
beta0_black[1]	-0.003	0.072	-0.143	-0.005	0.138
beta0_black[2]	1.855	0.032	1.793	1.855	1.919
beta0_black[3]	1.239	0.037	1.167	1.239	1.314
beta0_black[4]	2.416	0.047	2.325	2.415	2.511
beta0_black[5]	5.032	2.317	1.997	4.544	10.805
beta0_black[6]	4.860	2.021	2.446	4.360	10.274
beta0_black[7]	3.715	2.040	1.475	3.146	9.258
beta0_black[8]	0.761	0.189	0.411	0.754	1.147
beta0_black[9]	2.697	0.240	2.236	2.693	3.184
beta0_black[10]	1.280	0.050	1.183	1.280	1.381
beta0_black[11]	3.351	0.108	3.130	3.352	3.565
beta0_black[12]	4.861	0.163	4.549	4.860	5.175
beta0_black[13]	0.264	0.217	0.008	0.218	0.835
beta0_black[14]	2.932	0.127	2.678	2.933	3.183
beta0_black[15]	0.790	0.100	0.603	0.789	0.993
beta0_black[16]	4.251	0.131	3.989	4.253	4.514
beta2_black[1]	0.000	0.000	0.000	0.000	0.000
beta2_black[2]	0.000	0.000	0.000	0.000	0.000
beta2_black[3]	0.000	0.000	0.000	0.000	0.000
beta2_black[4]	0.000	0.000	0.000	0.000	0.000
beta2_black[5]	0.000	0.000	0.000	0.000	0.000
beta2_black[6]	0.000	0.000	0.000	0.000	0.000
beta2_black[7]	0.000	0.000	0.000	0.000	0.000
beta2_black[8]	0.000	0.000	0.000	0.000	0.000
beta2_black[9]	0.000	0.000	0.000	0.000	0.000
beta2_black[10]	0.000	0.000	0.000	0.000	0.000
beta2_black[11]	0.000	0.000	0.000	0.000	0.000
beta2_black[12]	0.000	0.000	0.000	0.000	0.000
beta2_black[13]	-2.548	1.690	-6.665	-2.166	-0.350
beta2_black[14]	0.000	0.000	0.000	0.000	0.000
beta2_black[15]	0.000	0.000	0.000	0.000	0.000
beta2_black[16]	0.000	0.000	0.000	0.000	0.000
beta3_black[1]	25.000	0.000	25.000	25.000	25.000
beta3_black[2]	25.000	0.000	25.000	25.000	25.000
beta3_black[3]	25.000	0.000	25.000	25.000	25.000
beta3_black[4]	25.000	0.000	25.000	25.000	25.000
beta3_black[5]	25.000	0.000	25.000	25.000	25.000
beta3_black[6]	25.000	0.000	25.000	25.000	25.000
beta3_black[7]	25.000	0.000	25.000	25.000	25.000
beta3_black[8]	25.000	0.000	25.000	25.000	25.000
beta3_black[9]	25.000	0.000	25.000	25.000	25.000
beta3_black[10]	25.000	0.000	25.000	25.000	25.000
beta3_black[11]	25.000	0.000	25.000	25.000	25.000
beta3_black[12]	25.000	0.000	25.000	25.000	25.000
beta3_black[13]	38.260	1.921	33.414	38.619	40.611
beta3_black[14]	25.000	0.000	25.000	25.000	25.000
beta3_black[15]	25.000	0.000	25.000	25.000	25.000
beta3_black[16]	25.000	0.000	25.000	25.000	25.000
beta4_black[1]	-0.306	0.089	-0.482	-0.306	-0.138
beta4_black[2]	0.256	0.053	0.154	0.254	0.360
beta4_black[3]	-0.733	0.062	-0.854	-0.733	-0.609
beta4_black[4]	0.567	0.122	0.334	0.567	0.819
beta4_black[5]	0.712	1.379	-1.125	0.482	3.940
beta4_black[6]	0.798	1.313	-0.770	0.537	3.914
beta4_black[7]	0.747	1.487	-0.868	0.463	4.163
beta4_black[8]	0.079	0.261	-0.452	0.083	0.583
beta4_black[9]	0.978	0.802	-0.135	0.806	2.982
beta4_black[10]	0.079	0.067	-0.052	0.080	0.208
beta4_black[11]	-0.651	0.083	-0.812	-0.651	-0.486
beta4_black[12]	1.065	0.261	0.567	1.065	1.591
beta4_black[13]	-0.982	0.077	-1.135	-0.981	-0.832
beta4_black[14]	0.083	0.163	-0.232	0.080	0.403
beta4_black[15]	0.284	0.049	0.186	0.284	0.377
beta4_black[16]	-0.560	0.160	-0.867	-0.561	-0.247
beta0_dsr[11]	-0.338	0.009	-0.356	-0.338	-0.320
beta0_dsr[12]	1.420	0.045	1.332	1.420	1.509
beta0_dsr[13]	0.143	0.021	0.102	0.142	0.184
beta0_dsr[14]	-0.128	0.017	-0.161	-0.128	-0.094
beta0_dsr[15]	0.197	0.014	0.170	0.197	0.224
beta0_dsr[16]	0.209	0.015	0.180	0.209	0.239
beta1_dsr[11]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[12]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[13]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[14]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[15]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[16]	0.000	0.000	0.000	0.000	0.000
beta4_dsr[11]	0.550	0.036	0.479	0.549	0.618
beta4_dsr[12]	0.786	0.234	0.347	0.781	1.266
beta4_dsr[13]	-0.079	0.041	-0.158	-0.079	0.005
beta4_dsr[14]	-0.213	0.072	-0.354	-0.214	-0.073
beta4_dsr[15]	0.225	0.022	0.183	0.225	0.267
beta4_dsr[16]	-0.100	0.045	-0.189	-0.099	-0.014
beta0_slope[11]	-2.199	0.021	-2.240	-2.198	-2.159
beta0_slope[12]	-5.156	0.174	-5.477	-5.164	-4.809
beta0_slope[13]	-1.473	0.034	-1.541	-1.473	-1.408
beta0_slope[14]	-2.685	0.049	-2.781	-2.685	-2.590
beta0_slope[15]	-1.591	0.022	-1.635	-1.591	-1.545
beta0_slope[16]	-3.015	0.046	-3.105	-3.014	-2.928
beta1_slope[11]	0.000	0.000	0.000	0.000	0.000
beta1_slope[12]	0.000	0.000	0.000	0.000	0.000
beta1_slope[13]	0.000	0.000	0.000	0.000	0.000
beta1_slope[14]	0.000	0.000	0.000	0.000	0.000
beta1_slope[15]	0.000	0.000	0.000	0.000	0.000
beta1_slope[16]	0.000	0.000	0.000	0.000	0.000
beta4_slope[11]	-0.344	0.074	-0.491	-0.343	-0.193
beta4_slope[12]	-4.260	0.810	-5.972	-4.215	-2.738
beta4_slope[13]	0.305	0.053	0.202	0.305	0.409
beta4_slope[14]	-0.191	0.149	-0.486	-0.188	0.094
beta4_slope[15]	-0.363	0.033	-0.429	-0.363	-0.299
beta4_slope[16]	0.216	0.105	0.000	0.219	0.412
beta5_slope[11]	3.077	0.107	2.873	3.074	3.290
beta5_slope[12]	1.586	0.400	0.852	1.580	2.386
beta5_slope[13]	0.864	0.078	0.711	0.862	1.017
beta5_slope[14]	3.761	0.356	3.120	3.747	4.513
beta5_slope[15]	1.385	0.075	1.235	1.385	1.533
beta5_slope[16]	2.730	0.229	2.311	2.720	3.202
tau_comp[1]	3.846	0.299	3.284	3.841	4.442
tau_comp[2]	2.842	0.252	2.382	2.835	3.369
tau_comp[3]	1.340	0.106	1.147	1.336	1.548
tau_comp[4]	1.339	0.203	0.984	1.324	1.777
tau_comp[5]	1.208	0.175	0.906	1.196	1.589
sigma_H[1]	0.205	0.048	0.121	0.203	0.308
sigma_H[2]	0.175	0.028	0.127	0.172	0.238
sigma_H[3]	0.187	0.040	0.118	0.184	0.269
sigma_H[4]	0.462	0.079	0.334	0.454	0.635
sigma_H[5]	0.962	0.199	0.603	0.952	1.383
sigma_H[6]	0.534	0.194	0.148	0.528	0.939
sigma_H[7]	0.309	0.060	0.214	0.301	0.446
sigma_H[8]	0.419	0.087	0.285	0.410	0.614
sigma_H[9]	0.512	0.114	0.333	0.496	0.774
sigma_H[10]	0.209	0.038	0.143	0.206	0.291
sigma_H[11]	0.265	0.044	0.192	0.260	0.361
sigma_H[12]	0.382	0.146	0.199	0.339	0.718
sigma_H[13]	0.221	0.036	0.159	0.218	0.300
sigma_H[14]	0.501	0.091	0.346	0.494	0.704
sigma_H[15]	0.228	0.038	0.162	0.225	0.313
sigma_H[16]	0.213	0.041	0.145	0.209	0.306
lambda_H[1]	2.124	3.414	0.081	0.969	10.926
lambda_H[2]	5.110	4.633	0.501	3.609	17.808
lambda_H[3]	5.499	8.177	0.300	2.732	27.325
lambda_H[4]	0.006	0.004	0.001	0.005	0.017
lambda_H[5]	2.581	6.388	0.021	0.730	18.409
lambda_H[6]	6.428	13.676	0.009	0.309	47.546
lambda_H[7]	0.012	0.008	0.002	0.010	0.033
lambda_H[8]	8.087	10.445	0.100	4.564	37.198
lambda_H[9]	0.015	0.010	0.003	0.013	0.038
lambda_H[10]	0.218	0.232	0.028	0.153	0.741
lambda_H[11]	0.230	0.331	0.010	0.104	1.137
lambda_H[12]	3.729	4.970	0.181	2.176	16.059
lambda_H[13]	3.185	2.956	0.269	2.294	11.446
lambda_H[14]	3.386	4.019	0.242	2.153	13.891
lambda_H[15]	0.018	0.020	0.003	0.014	0.060
lambda_H[16]	0.580	0.974	0.035	0.289	2.990
mu_lambda_H[1]	4.050	1.857	1.019	3.827	8.043
mu_lambda_H[2]	3.682	1.988	0.479	3.505	7.720
mu_lambda_H[3]	3.369	1.830	0.746	3.062	7.555
sigma_lambda_H[1]	8.072	4.295	1.732	7.388	18.112
sigma_lambda_H[2]	8.068	4.698	0.752	7.459	18.380
sigma_lambda_H[3]	6.161	3.925	0.968	5.272	15.980
beta_H[1,1]	6.480	1.304	3.252	6.709	8.418
beta_H[2,1]	9.767	0.621	8.423	9.791	10.934
beta_H[3,1]	7.848	0.812	5.990	7.954	9.169
beta_H[4,1]	10.708	7.748	-4.508	10.872	26.229
beta_H[5,1]	-0.336	2.638	-5.462	-0.167	3.967
beta_H[6,1]	3.069	4.329	-7.490	4.554	8.161
beta_H[7,1]	1.276	5.679	-10.720	1.726	11.723
beta_H[8,1]	1.321	4.147	-2.525	1.191	3.557
beta_H[9,1]	13.358	5.590	2.248	13.259	24.299
beta_H[10,1]	6.766	1.854	2.987	6.825	10.217
beta_H[11,1]	4.813	3.518	-2.836	5.370	9.825
beta_H[12,1]	2.634	1.095	0.752	2.535	5.130
beta_H[13,1]	9.098	0.850	7.350	9.142	10.535
beta_H[14,1]	2.137	1.002	0.111	2.149	4.131
beta_H[15,1]	-7.091	3.389	-13.252	-7.268	0.153
beta_H[16,1]	3.752	2.924	-0.983	3.407	10.460
beta_H[1,2]	7.779	0.270	7.205	7.783	8.299
beta_H[2,2]	9.881	0.163	9.558	9.881	10.211
beta_H[3,2]	8.800	0.196	8.422	8.796	9.196
beta_H[4,2]	2.996	1.453	0.238	2.968	5.920
beta_H[5,2]	1.760	0.968	-0.134	1.744	3.655
beta_H[6,2]	6.021	1.104	3.557	6.188	7.785
beta_H[7,2]	2.389	1.051	0.481	2.338	4.683
beta_H[8,2]	2.985	1.123	1.320	3.127	4.222
beta_H[9,2]	3.227	1.088	1.219	3.198	5.509
beta_H[10,2]	8.052	0.362	7.272	8.065	8.732
beta_H[11,2]	9.838	0.632	8.857	9.743	11.195
beta_H[12,2]	3.926	0.367	3.227	3.911	4.675
beta_H[13,2]	9.151	0.242	8.684	9.143	9.641
beta_H[14,2]	4.016	0.338	3.349	4.011	4.691
beta_H[15,2]	11.537	0.615	10.277	11.562	12.706
beta_H[16,2]	4.526	0.817	3.030	4.504	6.187
beta_H[1,3]	8.450	0.258	7.992	8.435	8.973
beta_H[2,3]	9.863	0.145	9.571	9.866	10.146
beta_H[3,3]	9.461	0.162	9.151	9.457	9.797
beta_H[4,3]	-2.193	0.863	-3.857	-2.213	-0.519
beta_H[5,3]	3.880	0.612	2.632	3.892	5.037
beta_H[6,3]	8.379	1.208	6.645	8.045	10.967
beta_H[7,3]	-2.572	0.617	-3.834	-2.567	-1.386
beta_H[8,3]	5.272	0.523	4.667	5.201	6.283
beta_H[9,3]	-2.748	0.724	-4.187	-2.727	-1.399
beta_H[10,3]	8.541	0.273	7.998	8.541	9.058
beta_H[11,3]	8.495	0.286	7.886	8.511	9.014
beta_H[12,3]	5.265	0.324	4.503	5.299	5.806
beta_H[13,3]	8.869	0.178	8.512	8.873	9.199
beta_H[14,3]	5.771	0.275	5.170	5.792	6.260
beta_H[15,3]	10.274	0.295	9.696	10.277	10.845
beta_H[16,3]	6.090	0.579	4.932	6.123	7.147
beta_H[1,4]	8.095	0.185	7.706	8.108	8.431
beta_H[2,4]	9.852	0.130	9.576	9.861	10.088
beta_H[3,4]	9.955	0.150	9.636	9.963	10.222
beta_H[4,4]	11.811	0.460	10.909	11.817	12.709
beta_H[5,4]	5.585	0.754	4.381	5.484	7.350
beta_H[6,4]	7.191	0.924	5.221	7.421	8.521
beta_H[7,4]	8.543	0.338	7.850	8.547	9.187
beta_H[8,4]	6.718	0.254	6.233	6.735	7.140
beta_H[9,4]	7.444	0.450	6.600	7.435	8.349
beta_H[10,4]	7.530	0.216	7.119	7.523	7.978
beta_H[11,4]	9.501	0.193	9.113	9.502	9.876
beta_H[12,4]	7.243	0.205	6.851	7.240	7.678
beta_H[13,4]	9.061	0.146	8.759	9.064	9.334
beta_H[14,4]	7.811	0.215	7.391	7.810	8.247
beta_H[15,4]	9.455	0.217	9.034	9.457	9.881
beta_H[16,4]	9.448	0.237	9.012	9.441	9.936
beta_H[1,5]	8.899	0.156	8.580	8.905	9.215
beta_H[2,5]	10.678	0.097	10.501	10.673	10.886
beta_H[3,5]	10.762	0.161	10.466	10.763	11.088
beta_H[4,5]	8.351	0.487	7.413	8.338	9.330
beta_H[5,5]	5.190	0.620	3.691	5.283	6.151
beta_H[6,5]	8.971	0.628	8.008	8.855	10.354
beta_H[7,5]	6.570	0.338	5.930	6.555	7.264
beta_H[8,5]	8.252	0.219	7.886	8.234	8.686
beta_H[9,5]	8.187	0.452	7.265	8.192	9.054
beta_H[10,5]	10.046	0.222	9.618	10.046	10.475
beta_H[11,5]	11.594	0.226	11.147	11.596	12.036
beta_H[12,5]	8.609	0.189	8.227	8.616	8.984
beta_H[13,5]	10.126	0.131	9.875	10.123	10.386
beta_H[14,5]	9.238	0.220	8.837	9.222	9.694
beta_H[15,5]	11.301	0.235	10.844	11.300	11.756
beta_H[16,5]	9.866	0.184	9.478	9.874	10.201
beta_H[1,6]	10.125	0.242	9.731	10.092	10.718
beta_H[2,6]	11.470	0.116	11.241	11.468	11.703
beta_H[3,6]	10.620	0.152	10.289	10.628	10.897
beta_H[4,6]	12.898	0.880	11.200	12.901	14.583
beta_H[5,6]	5.684	0.663	4.557	5.658	7.068
beta_H[6,6]	8.741	0.566	7.435	8.781	9.769
beta_H[7,6]	10.561	0.583	9.417	10.562	11.694
beta_H[8,6]	9.522	0.265	9.010	9.538	9.949
beta_H[9,6]	8.284	0.764	6.762	8.270	9.858
beta_H[10,6]	9.145	0.344	8.397	9.165	9.751
beta_H[11,6]	10.692	0.368	9.907	10.717	11.334
beta_H[12,6]	9.378	0.237	8.950	9.367	9.891
beta_H[13,6]	11.067	0.153	10.761	11.063	11.372
beta_H[14,6]	9.926	0.282	9.359	9.931	10.457
beta_H[15,6]	10.516	0.412	9.722	10.521	11.315
beta_H[16,6]	10.594	0.253	10.053	10.606	11.078
beta_H[1,7]	10.152	1.251	6.888	10.414	11.850
beta_H[2,7]	12.135	0.519	11.024	12.161	13.110
beta_H[3,7]	10.276	0.650	8.778	10.340	11.352
beta_H[4,7]	1.494	4.506	-7.434	1.469	10.180
beta_H[5,7]	5.800	2.101	1.875	5.846	9.929
beta_H[6,7]	7.199	3.164	-0.617	8.337	11.043
beta_H[7,7]	7.570	2.958	1.845	7.586	13.479
beta_H[8,7]	10.872	0.948	9.372	10.859	12.468
beta_H[9,7]	5.072	3.911	-3.023	5.126	12.846
beta_H[10,7]	10.020	1.643	7.141	9.846	13.737
beta_H[11,7]	11.342	1.815	8.069	11.190	15.265
beta_H[12,7]	9.819	0.968	7.722	9.893	11.448
beta_H[13,7]	11.688	0.706	10.146	11.744	12.933
beta_H[14,7]	10.652	0.918	8.758	10.666	12.415
beta_H[15,7]	14.127	2.170	9.871	14.152	18.317
beta_H[16,7]	12.835	1.352	10.513	12.700	15.800
beta0_H[1]	8.290	18.009	-29.480	8.922	45.822
beta0_H[2]	10.271	7.879	-5.878	10.355	26.132
beta0_H[3]	9.530	9.717	-9.977	9.664	29.440
beta0_H[4]	3.631	185.472	-372.843	6.385	376.461
beta0_H[5]	4.051	32.662	-50.995	4.177	61.332
beta0_H[6]	7.279	52.128	-106.296	7.583	125.820
beta0_H[7]	5.700	141.069	-272.065	5.363	286.580
beta0_H[8]	6.431	34.427	-17.399	6.435	31.258
beta0_H[9]	6.166	120.588	-237.979	6.876	242.184
beta0_H[10]	9.541	35.690	-62.437	8.851	83.942
beta0_H[11]	8.388	50.861	-100.678	9.606	120.044
beta0_H[12]	6.843	12.706	-16.283	6.738	30.883
beta0_H[13]	9.885	11.163	-12.161	9.982	30.971
beta0_H[14]	7.123	12.182	-19.778	7.405	30.663
beta0_H[15]	7.570	115.598	-222.811	6.671	234.109
beta0_H[16]	8.248	30.709	-50.685	8.172	70.047

Rockfish Historical Harvest Estimates

Phil Joy & Adam Reimer

February 2025